English

Poisson Statistics for Anderson Model with Singular Randomness

Spectral Theory 2014-08-20 v1 Probability

Abstract

In this work we consider the Anderson model on the dd-dimensional lattice with the single site potential having singular distribution, mainly α\alpha-H\"older continuous ones and show that the eigenvalue statistics is Poisson in the region of exponential localization.

Keywords

Cite

@article{arxiv.1408.4251,
  title  = {Poisson Statistics for Anderson Model with Singular Randomness},
  author = {Dhriti Ranjan Dolai and M. Krishna},
  journal= {arXiv preprint arXiv:1408.4251},
  year   = {2014}
}
R2 v1 2026-06-22T05:33:05.944Z